On the unified method with nuisance parameters

Statistica Sinica

Volumn 19, Issue 1, 2009, Pages 301-314

  Sen, Bodhisattva ^a   Walker, Matthew ^a   Woodroofe, Michael ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Confidence intervals; EM algorithm; Hybrid resampling method; Mixture distribution; Profile likelihood; Signal and noise

Indexed keywords

EID: 64549152468     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Chuang, C. and Lai, T. L. (1998). Resampling methods for confidence intervals in group sequential trials. Biometrika 85, 317-332.
2. Chuang, C. and Lai, T. L. (2000). Hybrid resampling methods for confidence intervals. Statist. Sinica 10, 1-50.
3. Dinescu, D. I., Keeney, B. A., Majewski, S. R. and Girard, T. M. (2004). Astronomical J. 128, 687-699.
4. e with KARMEN. Available at arXiv/hepex/9809007.
5. Feldman, G. (2000). Multiple Measurements and Parameters in the Unified Approach. Talk at the FermiLab Workshop on Confidence Limits.
6. Feldman, G. and Cousins, R. (1998). Unified approach to the classical statistical analysis of small signal. Phys. Rev. D 57, 3873-889.
7. Mandelkern, M. (2002). Setting confidence intervals for bounded parameters. Statist. Sci. 17, 149-172.
8. Oh, K. S., Lin, D. N. C. and Aarseth, S. J. (1995). Astrophysical J. 442, 142-158.
9. Piatek, S. and Pryor, C. (1995). Astronomical J. 109, 1071-1085.
10. Piatek, S., Pryor, C., Olszewski, E. W., Harris, H. C., Mateo, M., Minniti, D., Monet, D. G., Morrison, H. and Tinney, C. G. (2002). Astronomical Journal 124, 3198-3221.
11. Reid, N. (2003). Asymptotics and the theory of inference. Ann. Statis. 31, 1695-2095.
12. Reid, N. and Fraser, D. A. S. (2003). Likelihood Inference in the Presence of Nuisance Parameters. PHYSTAT 2003, SLAC, 265-271 (arXiv: physics/0312079).
13. Robin, A.C., Reylé, C., Derrière, S. and Picaud, S. (2003). Astronomy and Astrophysics 409, 523-540.
14. Roe, B. and Woodroofe, M. (1999). Improved probability method for estimation the signal in the presence of background. Phys. Rev. D 60, 053009.
15. Roe, B. and Woodroofe, M. (2000). Setting confidence belts. Phys. Rev. D 63, 013009.
16. Rolke, W., López, A. and Conrad, J. (2005). Limits and Confidence Intervals in the Presence of Nuisance Parameters. Nucl. Instrum. Meth. A551, 493-503 (arXiv:physics/0403059 v4 7 July 2005).
17. Walker, M., Mateo, M., Olszewski, E., Pal, J., Sen, B. and Woodroofe, M. (2006). On Kinematic Substructure in the Sextans Dwarf Galaxy. Astrophysical J. 642, L41-L44.